A sharp decay estimate for positive nonlinear waves

Alberto Bressan; Tong Yang

doi:10.1137/S0036141003427774

A sharp decay estimate for positive nonlinear waves

Alberto Bressan, Tong Yang

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

We consider a strictly hyperbolic, genuinely nonlinear system of conservation laws in one space dimension. A sharp decay estimate is proved for the positive waves in an entropy weak solution. The result is stated in terms of a partial ordering among positive measures, using symmetric rearrangements and a comparison with a solution of Burgers's equation with impulsive sources.

Original language	English (US)
Pages (from-to)	659-677
Number of pages	19
Journal	SIAM Journal on Mathematical Analysis
Volume	36
Issue number	2
DOIs	https://doi.org/10.1137/S0036141003427774
State	Published - 2005

All Science Journal Classification (ASJC) codes

Analysis
Computational Mathematics
Applied Mathematics

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title = "A sharp decay estimate for positive nonlinear waves",

abstract = "We consider a strictly hyperbolic, genuinely nonlinear system of conservation laws in one space dimension. A sharp decay estimate is proved for the positive waves in an entropy weak solution. The result is stated in terms of a partial ordering among positive measures, using symmetric rearrangements and a comparison with a solution of Burgers's equation with impulsive sources.",

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AU - Bressan, Alberto

AU - Yang, Tong

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AB - We consider a strictly hyperbolic, genuinely nonlinear system of conservation laws in one space dimension. A sharp decay estimate is proved for the positive waves in an entropy weak solution. The result is stated in terms of a partial ordering among positive measures, using symmetric rearrangements and a comparison with a solution of Burgers's equation with impulsive sources.

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A sharp decay estimate for positive nonlinear waves

Abstract

All Science Journal Classification (ASJC) codes

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